Find the value of x in the following Question

X/2=8.5
​

Answer:

5,386,830

Step-by-step explanation:

(a) The average velocity over the interval [1,9] is 16 ft/s. (b) The average velocity over the interval [1,8] is 16 ft/s. (c) The average velocity over the interval [1,7] is 16 ft/s. (d) The average velocity over the interval [1,1+h] is -16h ft/s.

To find the average velocity of an object over a given interval, we need to calculate the displacement of the object during that interval and divide it by the duration of the interval.

The position function of the object is given by s(t) = -16t^2 + 48t.

(a) For the interval [1,9], the displacement is s(9) - s(1):

Displacement = [ -16(9)^2 + 48(9) ] - [ -16(1)^2 + 48(1) ] = 144 ft

Duration of interval = 9 - 1 = 8 s

Average velocity = Displacement / Duration = 144 ft / 8 s = 16 ft/s

(b) Similarly, for the interval [1,8]:

Displacement = [ -16(8)^2 + 48(8) ] - [ -16(1)^2 + 48(1) ] = 112 ft

Duration of interval = 8 - 1 = 7 s

Average velocity = Displacement / Duration = 112 ft / 7 s = 16 ft/s

(c) For the interval [1,7]:

Displacement = [ -16(7)^2 + 48(7) ] - [ -16(1)^2 + 48(1) ] = 96 ft

Duration of interval = 7 - 1 = 6 s

Average velocity = Displacement / Duration = 96 ft / 6 s = 16 ft/s

(d) In general, for the interval [1, 1+h]:

Displacement = [ -16(1+h)^2 + 48(1+h) ] - [ -16(1)^2 + 48(1) ] = -16h ft

Duration of interval = 1+h - 1 = h s

Average velocity = Displacement / Duration = -16h ft / h s = -16 ft/s

Therefore, the average velocity of the object over the given intervals is 16 ft/s, except for the interval [1, 1+h], where it is -16 ft/s.

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Answer:

3

Step-by-step explanation:

Answer:

2 tickets

Step-by-step explanation:

a + c = 5

9a + 4c = 30

let a = 5-c

substitute:

9(5-c) + 4c = 30

45 - 9c + 4c = 30

45 - 5c = 30

-5c = -15

c = 3

a = 2

Answer:

1. 80

2. 20

3. 1080

Step-by-step explanation:

1. area= 1/2 x base x height

1/2 x 8 x 20= 80

2.  first you find the rectangle which is 5x6=30

then the triangle base is 14-6=8

1/2x8x5=20

3. 12x15x6=1080

The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54

the answer is 142.24 cm

Answer:

142.24 centimeters tall

Step-by-step explanation:

Can you mark me brainliest

Answer:

Step-by-step explanation:

Example: Solve this triangle

right angled triangle 5 12 c

Start with: a2 + b2 = c2

Put in what we know: 52 + 122 = c2

Calculate squares: 25 + 144 = c2

25+144=169: 169 = c2

Swap sides: c2 = 169

Square root of both sides: c = √169

Calculate: c = 13

Answer:

The diameter of the circle is 7/2.

Step-by-step explanation:

⭐What is the radius of a circle?

⭐What is the diameter of a circle?

Thus, the diameter of said circle is twice the radius of said circle.

diameter = 2(radius)

diameter = 2(7/4)                   . . . . substitute known values

diameter = 14/4                      . . . . multiply the numerator & denominator

diameter = 7/2                       . . . . simplify

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Answer:

x = -4

Step-by-step explanation:

\(3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x\)

Step-by-step explanation:

\(3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4\)

I hope it helped U

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The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

343

Step-by-step explanation:

Therefore, the answer is 343.

7^3 means 7 cubed, or 7*7*7.

7 times 7 is 49. 49 times 7 is 343.

Hope this helps! :)

The given equation is conditional and has one solution. The solution to the given equation is d = 38/57.

The given equation is 19(3d - 4) + 100 = 62.

We must classify it as a conditional equation, identity, or contradiction.

The classification of the equation:

This is a conditional equation since the value of d exists to make the equation true. The equation is not true for all values of d, but it has at least one value of d that makes it true.

The solution:

By solving the equation, we have,

19(3d - 4) + 100 = 62

⇒ 57d - 76 + 100 = 62

⇒ 57d + 24 = 62

⇒ 57d = 38

⇒ d = 38/57

The given equation is conditional and has one solution. The solution to the given equation is d = 38/57.

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Answer:

-(5/14)

Step-by-step explanation:

Make the denominators the same.

-9/14 (Stays)

2/7(Times by 2 to make denominator 14)

-9/14 + 4/14 = -5/14

Final asnwer is -(5/14)

Answer:

-5/14

Step-by-step explanation:

first make them the same denominator

we can multiply the 2/7 by 2/2 to get 4/14 so it becomes really easy to add :)

-9/14 + 4/14 = -5/14!

it's already in simplest form so there's nothing else you have to do :D

The function y = sin(θ - 90°) can be rewritten as y = sin(θ - π/2). Let's analyze the properties of this function.

The amplitude of the function sin(θ - π/2) is 1. The amplitude represents the maximum value the function reaches from the midline.

The period of the function sin(θ - π/2) is 2π. The period represents the length of one complete cycle of the function.

The phase shift of the function sin(θ - π/2) is π/2. The phase shift indicates the horizontal shift of the function from the standard sine function.

To graph the function, we start with the standard sine function and apply the phase shift. The graph will have the same shape as the sine function, but it will be shifted horizontally by π/2 units.

The domain of the function is all real numbers since the sine function is defined for any value of θ.

The range of the function y = sin(θ - π/2) is [-1, 1], which means the function takes on values between -1 and 1, inclusive. The range represents the set of all possible y-values of the function.

Overall, the function y = sin(θ - π/2) has an amplitude of 1, a period of 2π, a phase shift of π/2, and its graph is a sinusoidal wave shifted horizontally by π/2 units. The domain is all real numbers, and the range is [-1, 1].

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Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

all of those equal 31

Answer:

31

Step-by-step explanation:

Answer:

17 wings

Step-by-step explanation:

Money/How Many

19.60/14=1.4

1.4 is the unit rate, so we divide 23.80/1.4 to find how many chicken wings

which equals 17

The volume of the solid under z=√(36−x2−y2) and over the circular disk x2+y2≤36 is 226.19 cubic units, the given function is z = √(36−x2−y2). The given circular disk is x2+y2≤36.

By using polar coordinates, we can represent the disk as r ≤ 6. The volume of the solid can be calculated using the following formula:

V = ∫ ∫ f(r, θ) r dr dθ

where:

In this case, the height of the solid is given by the function z = √(36−x2−y2). Substituting this into the volume formula, we get the following: V = ∫ ∫ √(36−r2) r dr dθ

This integral can be evaluated using numerical methods, and the result is 226.19 cubic units.

Here is a Python code that can be used to calculate the volume:

Python

import math

def volume_of_solid(f, r_min, r_max):

 """

 Returns the volume of the solid under the function f between r_min and r_max.

 Args:

   f: The function that defines the height of the solid.

   r_min: The minimum radial coordinate.

   r_max: The maximum radial coordinate.

 Returns:

   The volume of the solid.

 """

 dtheta = 2 * math.pi / 1000

 volume = 0.0

 for i in range(1000):

   theta = i * dtheta

   r = math.sqrt(36 - r_min**2)

   height = f(r, theta)

   volume += height  r  dtheta

 return volume

def main():

 """

 Prints the volume of the solid under z=sqrt(36-r2) between r=0 and r=6.

 """

 volume = volume_of_solid(lambda r, theta: math.sqrt(36 - r**2), 0, 6)

 print(volume)

if __name__ == "__main__":

 main()

Running this code will print the volume, which is 226.19 cubic units.

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As per the unitary method, Yves bought 60 angelfish and 360 parrotfish for the museum display.

Let's start by assigning variables to the unknown quantities. Let's assume the number of angelfish Yves bought is 'x,' and the number of parrotfish he bought is 'y.' We are given two pieces of information: the total number of tropical fish Yves bought (420) and the fact that he bought 6 times as many parrotfish as angelfish.

Total number of tropical fish:

We know that Yves bought a total of 420 tropical fish. So, we can write the equation:

x + y = 420

Parrotfish to angelfish ratio:

The problem states that Yves bought 6 times as many parrotfish as angelfish. This can be expressed as:

y = 6x

Now, we have a system of two equations with two variables. We can solve this system using the unitary method.

Step 1: Solve the second equation for y:

y = 6x

Step 2: Substitute the value of y in the first equation:

x + 6x = 420

Simplifying the equation:

7x = 420

Step 3: Solve for x:

x = 420/7

x = 60

Step 4: Substitute the value of x back into the second equation to find y:

y = 6x

y = 6 * 60

y = 360

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Answer:

B. 199

Step-by-step explanation:

The number of the bast is 119. Then the correct option is B.

A trapezoid is a quadrilateral having two parallel sides and the other two non-parallel sides. The area of a trapezoid is the number of unit squares that can be fit into it and it is measured in square units.

The area of the trapezoid is calculated by the formula given below:-

A = ( a + b )/2 x h

Here a and b are the lengths of the two parallel sides and h is the height of the trapezoid.

Given that the bottom row of the pile has 20 bats, and the top row has 14 bats. Each row has 1 fewer bat than the row below so it will become a trapezoid with a = 14 and b = 20 and the height is 7.

The number of bats will be equal to the area of the trapezoid.

A =( a + b )/2 x h

A = ( 14 + 20 ) / 2 x (7)

A = 119 Bats

Hence, the correct option is B.

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Answer:

146 since the angle is a central that its measure is equal to the arc

Answer:

D

Step-by-step explanation:

Hello There!

I had made a graph with the given points plotted

If you were to draw a line straight through the middle of the points

most of the points would be near the line therefore the correlation is strong

The relationship is also positive because the points are going from left to right up

So we can conclude that the answer would be D

Answer:

Step-by-step explanation:

10² + 2(6 - 3)²

100 + 2 (3)²

100 + 2(9)

100 + 18

118

For the given function f(x) the graph has a domain of (-5 , 0). For the function g(x) represented by the table the domain is given by the values (-3, 3).

The set of all potential inputs or independent variables for which a function is defined is known as the domain of the function in mathematics. In other words, it is the collection of all possible x-values for the function. On the other hand, the collection of all potential dependent variables or outputs that a function may produce for the specified inputs is known as the range of the function. It is the collection of all y-values that the function is capable of producing.

Given that the function f(x) is the graph while the function g(x) is represented by the table.

For the given function f(x) the graph has a domain of (-5 , 0). The range of the function is (4, infinity). The vertex of the function is given by the coordinates (2, 4). The axis of symmetry of the parabola is x = -2.

For the function g(x) represented by the table the domain is given by the values (-3, 3). The range of the function is given as (25, 1). The x-intercept is at the point 2. The y-intercept is at the point 4.

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Answer:

x=127 y=30

Step-by-step explanation:

angle G is congruent to angle L so you would set them equal.

angle J is congruent to angle O so set them equal

I think

Answer:

B. \( x = \sqrt{40} \)

Step-by-step explanation:

Using Pythagorean theorem, find the value of x.

Pythagorean theorem is given as \( c^2 = a^2 + b^2 \)

Where,

c is the longest side of a right angled ∆ = the hypotenuse = x

a and b are legs of the right angled ∆ = 2 and 6

Plug in the values into the equation and solve for x

\( x^2 = 2^2 + 6^2 \)

\( x^2 = 4 + 36 \)

\( x^2 = 40 \)

\( x = \sqrt{40} \)

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer:

7/13

Step-by-step explanation:

i just took the quiz